Finding the Third Proportional to 38,978.50 and 57,009

Step by Step Solution

1. Step 1: Write the proportion equation
   38,978.50 : 57,009 = 57,009 : x
2. Step 2: Convert to fraction form
   38,978.50/57,009 = 57,009/x
3. Step 3: Cross multiply
   38,978.50x = 57,009 × 57,009
4. Step 4: Simplify right side
   38,978.50x = 3,250,026,081
5. Step 5: Solve for x
   x = 3,250,026,081/38,978.50
6. Step 6: Final answer
   x = 83,379.97